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A261400 Number of n X n knot mosaics. 2
1, 2, 22, 2594, 4183954, 101393411126, 38572794946976686, 234855052870954505606714, 23054099362200397056093750003442, 36564627559441095000442883434988307728126, 9372731425713263465533345673172748337294627134130381 (list; graph; refs; listen; history; text; internal format)



Hiroaki Yamanouchi, Table of n, a(n) for n = 1..14

K. Hong, H. Lee, H. J. Lee and S. Oh, Small knot mosaics and partition matrices, J. Phys.  A: Math. Theor. 47 (2014) 435201; arXiv:1312.4009 [math.GT].

K. Hong, H. J. Lee, H. Lee and S. Oh, Upper bound on the total number of knot n-mosaics, J. Knot Theory Ramifications, Volume 23, Issue 13, November 2014; arXiv:1303.7044 [math.GT].

Hwa Jeong Lee, Kyungpyo Hong, Ho Lee, and Seungsang Oh, Mosaic number of knots, arXiv: 1301.6041 [math.GT], 2014.

Samuel J. Lomonaco and Louis H. Kauffman, Quantum Knots and Mosaics, Proc. Sympos. Applied Math., Amer. Math. Soc., Vol. 68 (2010), pp. 177-208.

Samuel J. Lomonaco and Louis H. Kauffman, Illustration for a(3) = 33, from "Quantum Knots and Mosaics", 2010, with permission.

Index entries for sequences related to knots


Reminiscent of (but of course different from) A200000.

The term 22 is the same 22 that appears in A261399.

Sequence in context: A054349 A182293 A222000 * A113930 A181235 A246852

Adjacent sequences:  A261397 A261398 A261399 * A261401 A261402 A261403




N. J. A. Sloane, Aug 18 2015


a(7)-a(11) from Hiroaki Yamanouchi, Aug 19 2015



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Last modified February 27 11:07 EST 2021. Contains 341649 sequences. (Running on oeis4.)